TSTP Solution File: LCL686+1.005 by ConnectPP---0.2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ConnectPP---0.2.2
% Problem : LCL686+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Mar 6 09:10:14 EST 2024
% Result : Theorem 0.19s 0.45s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL686+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Mar 3 15:35:05 EST 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.45 % SZS status Theorem for theBenchmark
% 0.19/0.45 % SZS output start Proof for theBenchmark
% 0.19/0.45
% 0.19/0.45 % Formula: reflexivity ( axiom ) converted to clauses:
% 0.19/0.45 cnf(reflexivity-1, axiom, ( r1(_u0, _u0) )).
% 0.19/0.45
% 0.19/0.45 % Formula: transitivity ( axiom ) converted to clauses:
% 0.19/0.45 cnf(transitivity-1, axiom, ( ~r1(_u3, _u2) | ~r1(_u2, _u1) | r1(_u3, _u1) )).
% 0.19/0.45
% 0.19/0.45 % Formula: main ( conjecture ) converted to clauses:
% 0.19/0.45 cnf(main-1, negated_conjecture, ( r1(skolem1, skolem2) )).
% 0.19/0.45 cnf(main-2, negated_conjecture, ( p15(skolem2) )).
% 0.19/0.45 cnf(main-3, negated_conjecture, ( r1(skolem2, skolem3) )).
% 0.19/0.45 cnf(main-4, negated_conjecture, ( p1(skolem3) )).
% 0.19/0.45 cnf(main-5, negated_conjecture, ( r1(skolem1, skolem4) )).
% 0.19/0.45 cnf(main-6, negated_conjecture, ( ~r1(skolem4, _u34) | r1(_u34, skolem5(_u34)) )).
% 0.19/0.45 cnf(main-7, negated_conjecture, ( ~r1(skolem4, _u34) | r1(skolem5(_u34), skolem6(_u34)) )).
% 0.19/0.45 cnf(main-8, negated_conjecture, ( ~r1(skolem4, _u34) | r1(skolem6(_u34), skolem7(_u34)) )).
% 0.19/0.45 cnf(main-9, negated_conjecture, ( ~r1(skolem4, _u34) | r1(skolem7(_u34), skolem8(_u34)) )).
% 0.19/0.45 cnf(main-10, negated_conjecture, ( ~r1(skolem4, _u34) | r1(skolem8(_u34), skolem9(_u34)) )).
% 0.19/0.45 cnf(main-11, negated_conjecture, ( ~r1(skolem4, _u34) | r1(skolem9(_u34), skolem10(_u34)) )).
% 0.19/0.45 cnf(main-12, negated_conjecture, ( ~r1(skolem4, _u34) | r1(skolem10(_u34), skolem11(_u34)) )).
% 0.19/0.45 cnf(main-13, negated_conjecture, ( ~r1(skolem4, _u34) | r1(skolem11(_u34), skolem12(_u34)) )).
% 0.19/0.45 cnf(main-14, negated_conjecture, ( ~r1(skolem4, _u34) | r1(skolem12(_u34), skolem13(_u34)) )).
% 0.19/0.45 cnf(main-15, negated_conjecture, ( ~r1(skolem4, _u34) | r1(skolem13(_u34), skolem14(_u34)) )).
% 0.19/0.45 cnf(main-16, negated_conjecture, ( ~r1(skolem4, _u34) | r1(skolem14(_u34), skolem15(_u34)) )).
% 0.19/0.45 cnf(main-17, negated_conjecture, ( ~r1(skolem4, _u34) | r1(skolem15(_u34), skolem16(_u34)) )).
% 0.19/0.45 cnf(main-18, negated_conjecture, ( ~r1(skolem4, _u34) | r1(skolem16(_u34), skolem17(_u34)) )).
% 0.19/0.45 cnf(main-19, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem16(_u34), _u7) | ~p14(_u7) | p13(_u7) )).
% 0.19/0.45 cnf(main-20, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem16(_u34), _u7) | p14(_u7) | ~p13(_u7) )).
% 0.19/0.45 cnf(main-21, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem15(_u34), _u9) | ~p13(_u9) | p12(_u9) )).
% 0.19/0.45 cnf(main-22, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem15(_u34), _u9) | p13(_u9) | ~p12(_u9) )).
% 0.19/0.45 cnf(main-23, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem14(_u34), _u11) | ~p12(_u11) | p11(_u11) )).
% 0.19/0.45 cnf(main-24, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem14(_u34), _u11) | p12(_u11) | ~p11(_u11) )).
% 0.19/0.45 cnf(main-25, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem13(_u34), _u13) | ~p11(_u13) | p10(_u13) )).
% 0.19/0.45 cnf(main-26, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem13(_u34), _u13) | p11(_u13) | ~p10(_u13) )).
% 0.19/0.45 cnf(main-27, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem12(_u34), _u15) | ~p10(_u15) | p9(_u15) )).
% 0.19/0.45 cnf(main-28, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem12(_u34), _u15) | p10(_u15) | ~p9(_u15) )).
% 0.19/0.45 cnf(main-29, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem11(_u34), _u17) | ~p9(_u17) | p8(_u17) )).
% 0.19/0.45 cnf(main-30, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem11(_u34), _u17) | p9(_u17) | ~p8(_u17) )).
% 0.19/0.45 cnf(main-31, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem10(_u34), _u19) | ~p8(_u19) | p7(_u19) )).
% 0.19/0.45 cnf(main-32, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem10(_u34), _u19) | p8(_u19) | ~p7(_u19) )).
% 0.19/0.45 cnf(main-33, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem9(_u34), _u21) | ~p7(_u21) | p6(_u21) )).
% 0.19/0.45 cnf(main-34, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem9(_u34), _u21) | p7(_u21) | ~p6(_u21) )).
% 0.19/0.45 cnf(main-35, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem8(_u34), _u23) | ~p6(_u23) | p5(_u23) )).
% 0.19/0.45 cnf(main-36, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem8(_u34), _u23) | p6(_u23) | ~p5(_u23) )).
% 0.19/0.45 cnf(main-37, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem7(_u34), _u25) | ~p5(_u25) | p4(_u25) )).
% 0.19/0.45 cnf(main-38, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem7(_u34), _u25) | p5(_u25) | ~p4(_u25) )).
% 0.19/0.45 cnf(main-39, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem6(_u34), _u27) | ~p4(_u27) | p3(_u27) )).
% 0.19/0.45 cnf(main-40, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem6(_u34), _u27) | p4(_u27) | ~p3(_u27) )).
% 0.19/0.45 cnf(main-41, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem5(_u34), _u29) | ~p3(_u29) | p2(_u29) )).
% 0.19/0.45 cnf(main-42, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(skolem5(_u34), _u29) | p3(_u29) | ~p2(_u29) )).
% 0.19/0.45 cnf(main-43, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(_u34, _u31) | ~p2(_u31) | p1(_u31) )).
% 0.19/0.45 cnf(main-44, negated_conjecture, ( ~r1(skolem4, _u34) | ~r1(_u34, _u31) | p2(_u31) | ~p1(_u31) )).
% 0.19/0.45 cnf(main-45, negated_conjecture, ( ~r1(skolem4, _u34) | r1(_u34, skolem18(_u34)) )).
% 0.19/0.45 cnf(main-46, negated_conjecture, ( ~r1(skolem4, _u34) | ~p15(skolem18(_u34)) )).
% 0.19/0.45 cnf(main-47, negated_conjecture, ( ~r1(skolem4, _u34) | r1(_u34, skolem19(_u34)) )).
% 0.19/0.45 cnf(main-48, negated_conjecture, ( ~r1(skolem4, _u34) | p13(skolem19(_u34)) | p14(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-49, negated_conjecture, ( ~r1(skolem4, _u34) | ~p14(skolem19(_u34)) | ~p13(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-50, negated_conjecture, ( ~r1(skolem4, _u34) | p12(skolem19(_u34)) | p13(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-51, negated_conjecture, ( ~r1(skolem4, _u34) | ~p13(skolem19(_u34)) | ~p12(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-52, negated_conjecture, ( ~r1(skolem4, _u34) | p11(skolem19(_u34)) | p12(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-53, negated_conjecture, ( ~r1(skolem4, _u34) | ~p12(skolem19(_u34)) | ~p11(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-54, negated_conjecture, ( ~r1(skolem4, _u34) | p10(skolem19(_u34)) | p11(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-55, negated_conjecture, ( ~r1(skolem4, _u34) | ~p11(skolem19(_u34)) | ~p10(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-56, negated_conjecture, ( ~r1(skolem4, _u34) | p9(skolem19(_u34)) | p10(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-57, negated_conjecture, ( ~r1(skolem4, _u34) | ~p10(skolem19(_u34)) | ~p9(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-58, negated_conjecture, ( ~r1(skolem4, _u34) | p8(skolem19(_u34)) | p9(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-59, negated_conjecture, ( ~r1(skolem4, _u34) | ~p9(skolem19(_u34)) | ~p8(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-60, negated_conjecture, ( ~r1(skolem4, _u34) | p7(skolem19(_u34)) | p8(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-61, negated_conjecture, ( ~r1(skolem4, _u34) | ~p8(skolem19(_u34)) | ~p7(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-62, negated_conjecture, ( ~r1(skolem4, _u34) | p6(skolem19(_u34)) | p7(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-63, negated_conjecture, ( ~r1(skolem4, _u34) | ~p7(skolem19(_u34)) | ~p6(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-64, negated_conjecture, ( ~r1(skolem4, _u34) | p5(skolem19(_u34)) | p6(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-65, negated_conjecture, ( ~r1(skolem4, _u34) | ~p6(skolem19(_u34)) | ~p5(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-66, negated_conjecture, ( ~r1(skolem4, _u34) | p4(skolem19(_u34)) | p5(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-67, negated_conjecture, ( ~r1(skolem4, _u34) | ~p5(skolem19(_u34)) | ~p4(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-68, negated_conjecture, ( ~r1(skolem4, _u34) | p3(skolem19(_u34)) | p4(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-69, negated_conjecture, ( ~r1(skolem4, _u34) | ~p4(skolem19(_u34)) | ~p3(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-70, negated_conjecture, ( ~r1(skolem4, _u34) | p2(skolem19(_u34)) | p3(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-71, negated_conjecture, ( ~r1(skolem4, _u34) | ~p3(skolem19(_u34)) | ~p2(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-72, negated_conjecture, ( ~r1(skolem4, _u34) | p1(skolem19(_u34)) | p2(skolem19(_u34)) )).
% 0.19/0.45 cnf(main-73, negated_conjecture, ( ~r1(skolem4, _u34) | ~p2(skolem19(_u34)) | ~p1(skolem19(_u34)) )).
% 0.19/0.45
% 0.19/0.45 % Problem matrix:
% 0.19/0.45 cnf(matrix-0, plain, ( r1(_u0, _u0) )).
% 0.19/0.45 cnf(matrix-1, plain, ( ~r1(_u3, _u2) | ~r1(_u2, _u1) | r1(_u3, _u1) )).
% 0.19/0.45 cnf(matrix-2, plain, ( r1(skolem1, skolem2) )).
% 0.19/0.45 cnf(matrix-3, plain, ( p15(skolem2) )).
% 0.19/0.45 cnf(matrix-4, plain, ( r1(skolem2, skolem3) )).
% 0.19/0.45 cnf(matrix-5, plain, ( p1(skolem3) )).
% 0.19/0.45 cnf(matrix-6, plain, ( r1(skolem1, skolem4) )).
% 0.19/0.45 cnf(matrix-7, plain, ( ~r1(skolem4, _u34) | r1(_u34, skolem5(_u34)) )).
% 0.19/0.45 cnf(matrix-8, plain, ( ~r1(skolem4, _u34) | r1(skolem5(_u34), skolem6(_u34)) )).
% 0.19/0.45 cnf(matrix-9, plain, ( ~r1(skolem4, _u34) | r1(skolem6(_u34), skolem7(_u34)) )).
% 0.19/0.45 cnf(matrix-10, plain, ( ~r1(skolem4, _u34) | r1(skolem7(_u34), skolem8(_u34)) )).
% 0.19/0.45 cnf(matrix-11, plain, ( ~r1(skolem4, _u34) | r1(skolem8(_u34), skolem9(_u34)) )).
% 0.19/0.45 cnf(matrix-12, plain, ( ~r1(skolem4, _u34) | r1(skolem9(_u34), skolem10(_u34)) )).
% 0.19/0.45 cnf(matrix-13, plain, ( ~r1(skolem4, _u34) | r1(skolem10(_u34), skolem11(_u34)) )).
% 0.19/0.45 cnf(matrix-14, plain, ( ~r1(skolem4, _u34) | r1(skolem11(_u34), skolem12(_u34)) )).
% 0.19/0.45 cnf(matrix-15, plain, ( ~r1(skolem4, _u34) | r1(skolem12(_u34), skolem13(_u34)) )).
% 0.19/0.45 cnf(matrix-16, plain, ( ~r1(skolem4, _u34) | r1(skolem13(_u34), skolem14(_u34)) )).
% 0.19/0.45 cnf(matrix-17, plain, ( ~r1(skolem4, _u34) | r1(skolem14(_u34), skolem15(_u34)) )).
% 0.19/0.45 cnf(matrix-18, plain, ( ~r1(skolem4, _u34) | r1(skolem15(_u34), skolem16(_u34)) )).
% 0.19/0.45 cnf(matrix-19, plain, ( ~r1(skolem4, _u34) | r1(skolem16(_u34), skolem17(_u34)) )).
% 0.19/0.45 cnf(matrix-20, plain, ( ~r1(skolem4, _u34) | ~r1(skolem16(_u34), _u7) | ~p14(_u7) | p13(_u7) )).
% 0.19/0.45 cnf(matrix-21, plain, ( ~r1(skolem4, _u34) | ~r1(skolem16(_u34), _u7) | p14(_u7) | ~p13(_u7) )).
% 0.19/0.45 cnf(matrix-22, plain, ( ~r1(skolem4, _u34) | ~r1(skolem15(_u34), _u9) | ~p13(_u9) | p12(_u9) )).
% 0.19/0.45 cnf(matrix-23, plain, ( ~r1(skolem4, _u34) | ~r1(skolem15(_u34), _u9) | p13(_u9) | ~p12(_u9) )).
% 0.19/0.45 cnf(matrix-24, plain, ( ~r1(skolem4, _u34) | ~r1(skolem14(_u34), _u11) | ~p12(_u11) | p11(_u11) )).
% 0.19/0.45 cnf(matrix-25, plain, ( ~r1(skolem4, _u34) | ~r1(skolem14(_u34), _u11) | p12(_u11) | ~p11(_u11) )).
% 0.19/0.45 cnf(matrix-26, plain, ( ~r1(skolem4, _u34) | ~r1(skolem13(_u34), _u13) | ~p11(_u13) | p10(_u13) )).
% 0.19/0.45 cnf(matrix-27, plain, ( ~r1(skolem4, _u34) | ~r1(skolem13(_u34), _u13) | p11(_u13) | ~p10(_u13) )).
% 0.19/0.45 cnf(matrix-28, plain, ( ~r1(skolem4, _u34) | ~r1(skolem12(_u34), _u15) | ~p10(_u15) | p9(_u15) )).
% 0.19/0.45 cnf(matrix-29, plain, ( ~r1(skolem4, _u34) | ~r1(skolem12(_u34), _u15) | p10(_u15) | ~p9(_u15) )).
% 0.19/0.45 cnf(matrix-30, plain, ( ~r1(skolem4, _u34) | ~r1(skolem11(_u34), _u17) | ~p9(_u17) | p8(_u17) )).
% 0.19/0.45 cnf(matrix-31, plain, ( ~r1(skolem4, _u34) | ~r1(skolem11(_u34), _u17) | p9(_u17) | ~p8(_u17) )).
% 0.19/0.45 cnf(matrix-32, plain, ( ~r1(skolem4, _u34) | ~r1(skolem10(_u34), _u19) | ~p8(_u19) | p7(_u19) )).
% 0.19/0.45 cnf(matrix-33, plain, ( ~r1(skolem4, _u34) | ~r1(skolem10(_u34), _u19) | p8(_u19) | ~p7(_u19) )).
% 0.19/0.45 cnf(matrix-34, plain, ( ~r1(skolem4, _u34) | ~r1(skolem9(_u34), _u21) | ~p7(_u21) | p6(_u21) )).
% 0.19/0.45 cnf(matrix-35, plain, ( ~r1(skolem4, _u34) | ~r1(skolem9(_u34), _u21) | p7(_u21) | ~p6(_u21) )).
% 0.19/0.45 cnf(matrix-36, plain, ( ~r1(skolem4, _u34) | ~r1(skolem8(_u34), _u23) | ~p6(_u23) | p5(_u23) )).
% 0.19/0.45 cnf(matrix-37, plain, ( ~r1(skolem4, _u34) | ~r1(skolem8(_u34), _u23) | p6(_u23) | ~p5(_u23) )).
% 0.19/0.45 cnf(matrix-38, plain, ( ~r1(skolem4, _u34) | ~r1(skolem7(_u34), _u25) | ~p5(_u25) | p4(_u25) )).
% 0.19/0.45 cnf(matrix-39, plain, ( ~r1(skolem4, _u34) | ~r1(skolem7(_u34), _u25) | p5(_u25) | ~p4(_u25) )).
% 0.19/0.45 cnf(matrix-40, plain, ( ~r1(skolem4, _u34) | ~r1(skolem6(_u34), _u27) | ~p4(_u27) | p3(_u27) )).
% 0.19/0.45 cnf(matrix-41, plain, ( ~r1(skolem4, _u34) | ~r1(skolem6(_u34), _u27) | p4(_u27) | ~p3(_u27) )).
% 0.19/0.45 cnf(matrix-42, plain, ( ~r1(skolem4, _u34) | ~r1(skolem5(_u34), _u29) | ~p3(_u29) | p2(_u29) )).
% 0.19/0.45 cnf(matrix-43, plain, ( ~r1(skolem4, _u34) | ~r1(skolem5(_u34), _u29) | p3(_u29) | ~p2(_u29) )).
% 0.19/0.45 cnf(matrix-44, plain, ( ~r1(skolem4, _u34) | ~r1(_u34, _u31) | ~p2(_u31) | p1(_u31) )).
% 0.19/0.45 cnf(matrix-45, plain, ( ~r1(skolem4, _u34) | ~r1(_u34, _u31) | p2(_u31) | ~p1(_u31) )).
% 0.19/0.45 cnf(matrix-46, plain, ( ~r1(skolem4, _u34) | r1(_u34, skolem18(_u34)) )).
% 0.19/0.45 cnf(matrix-47, plain, ( ~r1(skolem4, _u34) | ~p15(skolem18(_u34)) )).
% 0.19/0.45 cnf(matrix-48, plain, ( ~r1(skolem4, _u34) | r1(_u34, skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-49, plain, ( ~r1(skolem4, _u34) | p13(skolem19(_u34)) | p14(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-50, plain, ( ~r1(skolem4, _u34) | ~p14(skolem19(_u34)) | ~p13(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-51, plain, ( ~r1(skolem4, _u34) | p12(skolem19(_u34)) | p13(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-52, plain, ( ~r1(skolem4, _u34) | ~p13(skolem19(_u34)) | ~p12(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-53, plain, ( ~r1(skolem4, _u34) | p11(skolem19(_u34)) | p12(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-54, plain, ( ~r1(skolem4, _u34) | ~p12(skolem19(_u34)) | ~p11(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-55, plain, ( ~r1(skolem4, _u34) | p10(skolem19(_u34)) | p11(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-56, plain, ( ~r1(skolem4, _u34) | ~p11(skolem19(_u34)) | ~p10(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-57, plain, ( ~r1(skolem4, _u34) | p9(skolem19(_u34)) | p10(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-58, plain, ( ~r1(skolem4, _u34) | ~p10(skolem19(_u34)) | ~p9(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-59, plain, ( ~r1(skolem4, _u34) | p8(skolem19(_u34)) | p9(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-60, plain, ( ~r1(skolem4, _u34) | ~p9(skolem19(_u34)) | ~p8(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-61, plain, ( ~r1(skolem4, _u34) | p7(skolem19(_u34)) | p8(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-62, plain, ( ~r1(skolem4, _u34) | ~p8(skolem19(_u34)) | ~p7(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-63, plain, ( ~r1(skolem4, _u34) | p6(skolem19(_u34)) | p7(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-64, plain, ( ~r1(skolem4, _u34) | ~p7(skolem19(_u34)) | ~p6(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-65, plain, ( ~r1(skolem4, _u34) | p5(skolem19(_u34)) | p6(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-66, plain, ( ~r1(skolem4, _u34) | ~p6(skolem19(_u34)) | ~p5(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-67, plain, ( ~r1(skolem4, _u34) | p4(skolem19(_u34)) | p5(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-68, plain, ( ~r1(skolem4, _u34) | ~p5(skolem19(_u34)) | ~p4(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-69, plain, ( ~r1(skolem4, _u34) | p3(skolem19(_u34)) | p4(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-70, plain, ( ~r1(skolem4, _u34) | ~p4(skolem19(_u34)) | ~p3(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-71, plain, ( ~r1(skolem4, _u34) | p2(skolem19(_u34)) | p3(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-72, plain, ( ~r1(skolem4, _u34) | ~p3(skolem19(_u34)) | ~p2(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-73, plain, ( ~r1(skolem4, _u34) | p1(skolem19(_u34)) | p2(skolem19(_u34)) )).
% 0.19/0.45 cnf(matrix-74, plain, ( ~r1(skolem4, _u34) | ~p2(skolem19(_u34)) | ~p1(skolem19(_u34)) )).
% 0.19/0.45
% 0.19/0.45 % Proof stack:
% 0.19/0.45 cnf(proof-stack, plain,
% 0.19/0.45 proof_stack(
% 0.19/0.45 start(74),
% 0.19/0.45 left_branch(0, 48, 1, 2),
% 0.19/0.45 left_branch(0, 0, 0, 3),
% 0.19/0.45 right_branch(3),
% 0.19/0.45 right_branch(2),
% 0.19/0.45 left_branch(0, 44, 3, 3),
% 0.19/0.45 left_branch(0, 48, 1, 4),
% 0.19/0.45 left_branch(0, 0, 0, 5),
% 0.19/0.45 right_branch(5),
% 0.19/0.45 right_branch(4),
% 0.19/0.45 left_branch(0, 73, 2, 5),
% 0.19/0.45 lemmata(0, 0),
% 0.19/0.45 reduction(0, 0),
% 0.19/0.45 right_branch(5),
% 0.19/0.45 left_branch(0, 48, 1, 6),
% 0.19/0.45 lemmata(0, 0),
% 0.19/0.45 right_branch(6),
% 0.19/0.45 right_branch(3),
% 0.19/0.45 left_branch(0, 45, 2, 4),
% 0.19/0.45 left_branch(0, 48, 1, 5),
% 0.19/0.45 left_branch(0, 0, 0, 6),
% 0.19/0.45 right_branch(6),
% 0.19/0.45 right_branch(5),
% 0.19/0.45 lemmata(0, 1),
% 0.19/0.45 left_branch(0, 48, 1, 7),
% 0.19/0.45 lemmata(0, 0),
% 0.19/0.45 right_branch(7),
% 0.19/0.45 right_branch(4)
% 0.19/0.45 )).
% 0.19/0.45 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------